7th grade unit 1 module 1 vocab Difference Additive inverse Identity property of addition The amount that remains after one quantity is subtracted from another. 49.75 ­ 13.9 = 35.85 35.85 is the difference. A number that is the same distance from 0 on the number line, but in the opposite direction. +3 + ­3 = 0 If you add zero to a number, the sum is the same as that number. 8 + 0 7th grade unit 1 module 1 vocab Integers The set of whole numbers and opposites. 7th grade unit 1 module 2 vocab Identity property of multiplication If you multiply a number by one, the product is the same as the number. 1 x 3 = 3 7th grade unit 1 module 3 vocab Complex fraction A fraction in which the numerator, denominator, or both are also fractions. 37 _____ 24 Rational number A number that can be expressed as a ratio of two integers. (2, ­3, 4,1 0.18…) Terminating decimal A decimal which has a finite number of digits. 0.25, 0.2, 0.125, 0.1 ... 7th grade unit 2 module 4 vocab Proportion An equation showing that two ratios are equivalent. 2
4
4 = 8 Proportional relationship A proportional relationship is a relationship between two variable quantities x and y, where y is a constant multiple (k) of x. y = kx d = rt Constant of proportionality The constant multiplier by which one variable in a proportional relationship is related to the other variable. UNIT RATE 7th grade unit 2 module 5 vocab Percent Percent increase A special ratio that compares a number to 100 using the symbol %. 80% Extent to which a variable gains value. Percent increase​ =​ new amount ­ original amount ​ ​x 100 Orginal amount Percent decrease Extent to which a variable loses value. Percent increase​ =​ new amount ­ original amount ​ ​x 100 Orginal amount 7th grade unit 2 module 5 vocab Simple interest A quick method for calculating the interest charge on a loan. I =prt Interest = principal x rate x time 7th grade unit 3 module 6 & 7vocab Expression Inequality A variable or combination of variables, numbers, and symbols that represents a mathematical relationship. 5x + 3 A mathematical sentence that compares two unequal expressions using one of the symbols <, >, ≤, ≥ , or =/ 7th grade unit 4 module 8 vocab Corresponding angles Angles in matching positions when a transversal crosses at least two lines. Scale factor Figures A and B are similar 9 ÷ 6 = 1.5 6 ÷ 9 = 23 7th grade unit 4 module 8 vocab Transversal A line that intersects at least two other lines. Alternate interior angles Angles inside the lines and on opposite sides of the transversal. 7th grade unit 4 module 8 vocab Alternate exterior angles Angles outside the two lines and on opposite sides of the transversal. Parallel lines Two lines on a plane that never meet. They are always the same distance apart. 7th grade unit 4 module 8 vocab Triangle inequality theorem The theorem that asserts the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Circumference The distance around a circle, which equals a little more than three times its diameter. C = Π d or C = 2 Π r Vertical angle A pair of angles that share the same vertex and are bounded by the same pair of lines but are opposite each other. 7th grade unit 4 module 8 vocab Supplementary angles If the sum of the measures of two angles is 180 degrees. Complementary angles f the sum of the measures of two angles is 90 degrees. 7th grade unit 4 module 8 vocab Adjacent angles Two angles in a plane that have a common vertex and a common side. Cube A three­dimensional shape with six square sides. Scale drawing A drawing of an object or structure showing all parts in the same proportion of their true size. 7th grade unit 4 module 9 vocab Pyramid A polyhedron whose base is a polygon and whose other faces are triangles that share a common vertex. Circle A plane figure with all points the same distance from a fixed point called a center. 7th grade unit 5 module 10 vocab Random sample Population A selection that is chosen randomly. Example: Drawing a number from a hat. The entire collection of items that is the focus of concern. Examples: shoe sizes Heights Weights Hat sizes 7th grade unit 6 module 12 vocab Probability of dependent events 6
5
30
P(red) x P(green after red) = 20
x 19
= 380
Probability of independent events 7th grade unit 6 module 12 vocab Events that preclude each other. Cannot occur at the same time. Mutually exclusive events Event A set of outcomes to which a probability is assigned. 7th grade unit 6 module 12 vocab Unlikely event An event that will probably not happen. An outcome with a probability between 0 and 0.5 Compound event Two or more independent events considered together. 7th grade unit 6 module 12 vocab Likely event An event that is most likely to happen. Probability The chance that a particular outcome will occur, measured as a ratio of the total possible outcomes. Simulation Carrying out a simple experiment to collect data. Examples: rolling dice, flipping a coin